Finding the Third Proportional to 59,202 and 126,801

Step by Step Solution

1. Step 1: Write the proportion equation
   59,202 : 126,801 = 126,801 : x
2. Step 2: Convert to fraction form
   59,202/126,801 = 126,801/x
3. Step 3: Cross multiply
   59,202x = 126,801 × 126,801
4. Step 4: Simplify right side
   59,202x = 16,078,493,601
5. Step 5: Solve for x
   x = 16,078,493,601/59,202
6. Step 6: Final answer
   x = 271,587.00